An employee at a gym recorded the number of people coming in to work out or attend physical therapy during each half hour that he worked.

A. Explain how a Poisson distribution and an exponential distribution could be involved in his recording of data. Be very specific in how each distribution could apply.
B. His recorded data is: 3 5 2 3 4 3 6 4 3 0 1 2 3 2 0 6 2 4 2 3 4 2 4 1 5 5 0 2 3 5
Construct a frequency table comparing the data to an appropriate Poisson distribution. Does the comparison support the conjecture that the mean number of arrivals is approximately Poisson?